Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	274×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	22	6
1	39	5
2	67	5
3	119	5
4	185	5
5	252	5
6	313	5
7	399	5
8	562	5
9	721	5
10	1148	5
11	1303	5
12	1450	5
13	1454	5
14	1454	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
0.2b	(/ (* 60.0 (- x y)) (- z t))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `times-frac` `associate-r` `associate-/r*`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 87

Calls

3 calls:

23.0ms	(* 60.0 (- x y))
0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
30.0ms	(/ (* 60.0 (- x y)) (- z t))

series156.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* 60.0 (- x y))
77.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
54.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	390	631
1	1733	455
2	5002	453

prune202.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- z t))
0.0b	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `fma-udef`

Counts

3 → 116

Calls

3 calls:

24.0ms	(/ (- x y) (- z t))
0.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
44.0ms	(* 60.0 (/ (- x y) (- z t)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (- x y) (- z t))
80.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
55.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	395	752
1	1536	698
2	5001	696

prune313.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 120.0 a (/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t)))
0.2b	(* (sqrt 60.0) (- x y))
0.2b	(/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t))
0.3b	(* (sqrt 60.0) (* (sqrt 60.0) (- x y)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
53×	`*-un-lft-identity`
47×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-l`
11×	`pow1`
10×	`associate-*r/`
7×	`prod-exp` `sqrt-prod` `cbrt-unprod`
6×	`sub-neg` `associate-r`
5×	`times-frac` `associate-/r*`
4×	`expm1-log1p-u` `flip3--` `pow-prod-down` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`associate-/r/` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num` `fma-udef` `div-inv` `associate-/l*`

Counts

4 → 162

Calls

4 calls:

0.0ms	(fma 120.0 a (/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t)))
26.0ms	(* (sqrt 60.0) (- x y))
64.0ms	(/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t))
48.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (- x y)))

series567.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(fma 120.0 a (/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t)))
53.0ms	(* (sqrt 60.0) (- x y))
194.0ms	(/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t))
89.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (- x y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	552	1532
1	2719	1069
2	5002	1017

prune313.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) 60.0)
0.0b	(fma 120.0 a (/ 1 (/ (/ (- z t) 60.0) (- x y))))
0.2b	(/ (/ (- z t) 60.0) (- x y))
0.2b	(/ 1 (/ (/ (- z t) 60.0) (- x y)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

1183×	`times-frac`
806×	`add-sqr-sqrt` `*-un-lft-identity`
450×	`add-cube-cbrt`
178×	`distribute-lft-out--` `difference-of-squares`
109×	`associate-/r*`
33×	`div-inv`
32×	`add-exp-log`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
11×	`associate-/r/`
10×	`cbrt-undiv`
6×	`flip3--` `flip--`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
1×	`pow-flip` `fma-udef` `inv-pow`

Counts

4 → 623

Calls

4 calls:

18.0ms	(/ (- z t) 60.0)
0.0ms	(fma 120.0 a (/ 1 (/ (/ (- z t) 60.0) (- x y))))
28.0ms	(/ (/ (- z t) 60.0) (- x y))
47.0ms	(/ 1 (/ (/ (- z t) 60.0) (- x y)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (- z t) 60.0)
84.0ms	(fma 120.0 a (/ 1 (/ (/ (- z t) 60.0) (- x y))))
57.0ms	(/ (/ (- z t) 60.0) (- x y))
255.0ms	(/ 1 (/ (/ (- z t) 60.0) (- x y)))

simplify108.0ms

Algorithm

egg-herbie

Counts

635 → 635

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1745	7473
1	5001	6804

prune1.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes157.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample640.0ms

Algorithm

intervals

Results

268.0ms	8520×	body	80	valid
5.0ms	40×	body	1280	valid
3.0ms	21×	body	2560	valid
3.0ms	28×	body	640	valid
2.0ms	21×	body	320	valid
0.0ms	4×	body	160	valid